I know what you mean when you say that you dread the sound of a text alert - I sometimes still do that now.
However, after speaking to a male colleague many years ago, he said it would piss my h off more if I didn't reply to his abusive texts. I can't tell you how much better I feel now I do this. Unless it is about my ds, I have made it clear that I will not reply to them.
I have said this before to others but when I chucked him out, initially for the first minute or so, I was surprised that he left and wondered how I was ever going to cope with a ds of 15 months. Then I realised that I had the remote control, there was chocolate in the fridge and I didn't have to rush home to cook his tea, after a days work. Ahhhh, bliss. I can't say it has been easy cos it hasn't but my ds and I are happier together without his destructive presence. Perhaps my ds is just beginning to realise this and that is why he doesn't want to see his dad more recently.
I felt like you did, but in hindsight, it is not good for you or dd if you let him make you doubt yourself as a mother...if you do that, he has a victory and you must never give him the satisfaction of this. Tammybear is right of course, he lives abroad and therefore doesn't have many rights.
I keep a diary of all texts and meetings and when he sees my ds - it may be a good idea to do the same, especially if you seek professional help from a solicitor in case he starts making demands in the future. Don't let him win the smallest victory Amai - rise above it - you are better than him and you have the most important job in the world as a mother. xx